lemniscate Synonyms

No Synonyms and anytonyms found

lemniscate Meaning

Wordnet

lemniscate (n)

any of several plane algebraic curves in the shape of a figure eight

Webster

lemniscate (n.)

A curve in the form of the figure 8, with both parts symmetrical, generated by the point in which a tangent to an equilateral hyperbola meets the perpendicular on it drawn from the center.

lemniscate Sentence Examples

1. The lemniscate loop emerged as a captivating mathematical construct, symbolizing infinity and symmetry.
2. The equation of the lemniscate, x^2 + y^2 = a^2/(1 + cos(2θ)), defines its unique figure-eight shape.
3. The lemniscate's focal points lie on the x-axis, separated by a distance of 2a.
4. The area enclosed by the lemniscate is given by πa^2/2, while its perimeter cannot be expressed in elementary functions.
5. The lemniscate arises in diverse fields, including geometry, electromagnetism, and acoustics.
6. Bernoulli's lemniscate, named after the renowned mathematician, is a variation where the exponent of cos(2θ) differs.
7. The lemniscate is a fascinating curve that exhibits an intriguing relationship with the exponential function.
8. In fluid dynamics, the lemniscate shape appears as a flow pattern around certain obstacles.
9. The lemniscate's elegant geometry has inspired artistic works and architectural designs.
10. The lemniscate serves as a valuable tool for understanding the behavior of waves and oscillations.

FAQs About the word lemniscate

What is the meaning of the word lemniscate

any of several plane algebraic curves in the shape of a figure eightA curve in the form of the figure 8, with both parts symmetrical, generated by the point in

What are the synonyms of the word lemniscate

No synonyms found.

What are the antonyms of the word lemniscate

No antonyms found.

What is the usage of word lemniscate

The lemniscate loop emerged as a captivating mathematical construct, symbolizing infinity and symmetry.

The equation of the lemniscate, x^2 + y^2 = a^2/(1 + cos(2θ)), defines its unique figure-eight shape.

How to use the word lemniscate in a sentence?

The lemniscate's focal points lie on the x-axis, separated by a distance of 2a.

The area enclosed by the lemniscate is given by πa^2/2, while its perimeter cannot be expressed in elementary functions.